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Finding the Third Proportional to 358,926,505 and 779,110,202

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Solution

The third proportional to 358,926,505 and 779,110,202 is: 1,691,189,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,926,505 : 779,110,202 = 779,110,202 : x
  2. Step 2: Convert to fraction form
    358,926,505/779,110,202 = 779,110,202/x
  3. Step 3: Cross multiply
    358,926,505x = 779,110,202 × 779,110,202
  4. Step 4: Simplify right side
    358,926,505x = 607,012,706,860,480,768
  5. Step 5: Solve for x
    x = 607,012,706,860,480,768/358,926,505
  6. Step 6: Final answer
    x = 1,691,189,417.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.